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How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?
It works out as 12 feet and 4 inches in height
How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?
We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.
A vertical pole 5 feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.
A pole that is 2.6m tall casts a shadow that is 1.51m long At the same time a nearby building casts a shadow that is 42.25m long round your answer to the nearest meter How tall is the building?
Let x = the height of the building. So we have, x/2.6 = 42.25/1.51 x = (2.6)(42.25)/1.51 x =72.75 Thus, the building is 72.75 meter tall.
What is the angle of elevation of the sun with the ground when the pole 7.6 meters casts a shadow 6.1 meters long?
Required angle has a tangent of 7.6/6.1 ie 1.249. This is 51.25 degrees.
What is the length of the shadow cast by a 63 foot high pole if a 27 foot high pole casts an 18 foot shadow?
If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.
How high is a tree that's casts a ft shadow at the same time a ft pole casts a shadow which is ft long?
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?
It is 90 feet in height
If a tree 10 feet tall casts a shadow 5 feet long how long is the shadow cast by a pole 12 feet tall?
6 feet
A vertical pole five feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
25 feet tall
How long is the shadow if a nearby 10-foot tall basketball hoop casts a 7-foot shadow?
3
At 1100 am a one meter high mailbox casts a 0.4 meter shadow If a pole beside the mailbox casts a 16-meter shadow how tall is that pole?
40 meters
How high is a tree that casts a 33 ft shadow at the same time a 5 ft pole casts a shadow which is 12 ft long?
(12 / 5) × 33 = 79.2 feet high Divide the pole shadow by the pole height: (12 / 5) = 2.4 feet Times the 2.4 by the tree shadow of 33 feet: 2.4 x 33 = 79.2
What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?
2
How high is a tree that casts a 63 ft shadow at the same time a 21ft pole casts a shadow which is 21 ft long?
The shadow:object ratio is 1:1 so the tree is 63 feet high.
How high is a tree that cast a 24-foot shadow at the same time a 8-foot pole casts a shadow which is 11-foot long?
17.45 feet.
How tall is a tree that casts a 25 foot shadow at the same time a 9 foot light pole casts a 15 foot shadow?
15 feet high
